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Re: Perfect Square [#permalink]
18 Aug 2012, 02:22

1

This post received KUDOS

hussi9 wrote:

For which value of n below is a perfect square

(2^8)+(2^11)+(2^n)

Use the formula for (a+b)^2=a^2+2ab+b^2. Since 2^8+2^{11}=(2^4)^2+2*2^4*2^6, we need an extra term, that of (2^6)^2=2^{12} to complete the expression to a perfect square, (2^4+2^6)^2.

So, n should be 12. _________________

PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: Perfect Square [#permalink]
18 Aug 2012, 17:51

EvaJager wrote:

hussi9 wrote:

For which value of n below is a perfect square

(2^8)+(2^11)+(2^n)

Use the formula for (a+b)^2=a^2+2ab+b^2. Since 2^8+2^{11}=(2^4)^2+2*2^4*2^6, we need an extra term, that of (2^6)^2=2^{12} to complete the expression to a perfect square, (2^4+2^6)^2.

So, n should be 12.

Thank you eva I think this approach is more justified, like it better _________________

For my Cambridge essay I have to write down by short and long term career objectives as a part of the personal statement. Easy enough I said, done it...